• The Green's Function, the Bergman Kernel and Quadrature Domains in Cn 

      Haridas, Pranav (2018-06-08)
      In the first part of this thesis, we prove two density theorems for quadrature domains in Cn ,n≥2. It is shown that quadrature domains are dense in the class of all product domains of the form D×Ωwhere D⊂Cn−1 is a smoothly ...
    • On The Structure of Proper Holomorphic Mappings 

      Jaikrishnan, J (2017-09-28)
      The aim of this dissertation is to give explicit descriptions of the set of proper holomorphic mappings between two complex manifolds with reasonable restrictions on the domain and target spaces. Without any restrictions, ...